applications to mathematics, a normal monomorphism or conormal epimorphism is a particularly well-behaved type of morphism. A normal category is a category in...

other of morphisms. There are two objects that are associated to every morphism, the source and the target. A morphism f from X to Y is a morphism with source...

finite if the inverse image of every point is finite and the morphism is proper. A morphism of varieties is birational if it restricts to an isomorphism...

kernels from algebra. Intuitively, the kernel of the morphism f : X → Y is the "most general" morphism k : K → X that yields zero when composed with (followed...

mathematics, in particular in algebraic geometry, a flat morphism f from a scheme X to a scheme Y is a morphism such that the induced map on every stalk is a flat...

a scheme will be a scheme over some fixed base scheme S and a morphism an S-morphism. Contents:  !$@ A B C D E F G H I J K L M N O P Q R S T U V W XYZ...

Monomorphism Zero morphism Normal morphism Dual (category theory) Groupoid Image (category theory) Coimage Commutative diagram Cartesian morphism Slice category...

naturally the structure of a locally ringed space; a morphism between algebraic varieties is precisely a morphism of the underlying locally ringed spaces. If X...

between Hilbert spaces) is an object Q and a morphism q : Y → Q such that the composition q f is the zero morphism of the category, and furthermore q is universal...

(straight) mouth, but a morph with an upturned mouth is found locally in eastern Lake Natron, where it co-occurs with the normal morph. A. latilabris and A...

called a monic morphism or a mono) is a left-cancellative morphism. That is, an arrow f : X → Y such that for all objects Z and all morphisms g1, g2: Z →...

In algebraic geometry, an étale morphism (French: [etal]) is a morphism of schemes that is formally étale and locally of finite presentation. This is...

normal point under a proper birational morphism is connected. A generalization due to Grothendieck describes the structure of quasi-finite morphisms of...

for classical genetics by John Maynard Smith (1998). The shorter term morphism was preferred by the evolutionary biologist Julian Huxley (1955). Various...

Birds intermediate between the normal morph and the white morph are known as Würdemann's heron; these birds resemble a "normal" great blue with a white head...

morphism of schemes generalizes a morphism of algebraic varieties just as a scheme generalizes an algebraic variety. It is, by definition, a morphism...

} In particular, if X → S {\displaystyle X\to S} is a smooth morphism, then the normal bundle to the diagonal embedding Δ : X ↪ X × S ⋯ × S X {\displaystyle...

some category, an automorphism is a morphism of the object to itself that has an inverse morphism; that is, a morphism f : X → X {\displaystyle f:X\to X}...

over a scheme S and if i is an S-morphism, then i is a regular embedding. In particular, every section of a smooth morphism is a regular embedding. If Spec...

algebraic geometry, a contraction morphism is a surjective projective morphism f : X → Y {\displaystyle f:X\to Y} between normal projective varieties (or projective...

convention). A closely related notion is a structure map or structure morphism; the map or morphism that comes with the given structure on the object. These are...

G-maps. The composition of two morphisms is again a morphism. If a morphism f is bijective, then its inverse is also a morphism. In this case f is called an...

category theory, an isomorphism is defined as a morphism that has an inverse that is also a morphism. In the specific case of algebraic structures, the...

often be seen in adult sandy zebra sharks. This morph, which is genetically inseparable from the normal morph, is only known from the vicinity of Malindi...

conditions are equivalent. There exists a morphism t : B → A such that t ∘ f is the identity on A. There exists a morphism u: C → B such that g ∘ u is the identity...

mathematics, the image of a morphism is a generalization of the image of a function. Given a category C {\displaystyle C} and a morphism f : X → Y {\displaystyle...

morphs, such as Nuclears (extreme red), High Whites and Reduced Patterns, for example. loveridgei subspecies "normal" morph Albino morph Stripe morph...

halli typically appear pale-eyed, while adults of M. giganteus of the normal morph typically appear dark-eyed (occasionally flecked paler). Classic examples...

Ptinellodes) are polymorphic, with two morphs so distinct that they appear to be different species or genera. There is a normal morph with well-developed eyes, wings...

\mathrm {H} } , respectively, into H {\displaystyle \mathrm {H} } ). A morphism between two algebraic groups G , G ′ {\displaystyle \mathrm {G} ,\mathrm...